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Finding the Fourth Proportional to 2,879.56, 3,961.20 and 2,523.88

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Solution

The fourth proportional to 2,879.56, 3,961.20 and 2,523.88 is: 3,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.56 : 3,961.20 = 2,523.88 : x
  2. Step 2: Convert to fraction form
    2,879.56/3,961.20 = 2,523.88/x
  3. Step 3: Cross multiply
    2,879.56x = 3,961.20 × 2,523.88
  4. Step 4: Simplify right side
    2,879.56x = 9,997,593.46
  5. Step 5: Solve for x
    x = 9,997,593.46/2,879.56
  6. Step 6: Final answer
    x = 3,471.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.